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Pearson Edexcel Level 3 GCE Further Mathematics Advanced PAPER 1: Core Pure June 2023
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Pearson Edexcel Level 3 GCE Further Mathematics Advanced PAPER 1: Core Pure June 2023
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Please check the examination details below before entering your candidateinformation
Candidate surname Other names
Centre Candidate
Number Number
Pearson Edexcel Level 3
GCE
Thursday 25 May 2023
Afternoon Paper
9FM0/01
Further Mathematics
Advanced
PAPER 1: Core Pure
Mathematics 1
You must have: Total
Mathematical Formulae and Statistical Tables (Green), Marks
calculator
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for algebraic manipulation,
differentiation and integration, or have retrievable mathematical
formulae stored in them.
Instructions
•• Use black ink or ball-point
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your
pen. number and candidate number.
• Answer
centre
all questions and ensure that your answers to parts of questions are
name, labelled.
clearly
• Answer the questions in the spaces
provided – there may be more space than
• you need.
You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
•Informatio
Inexact answers should be given to three significant figures unless otherwise stated.
•n• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is
are 8 questions in this question paper. The total mark for this paper
• isThe – usefor
75.marks
provided.
question.
thiseach
as aquestion
guide asare shown
to how in time to spend on each
much
•e brackets
Advic
Read each question carefully before you start to answer it.
•• Try to answer every
Check your answers if you have time at the
end. Turn over
question.
/
,1. The cubic equation
x3 – 7x2 – 12x + 6 = 0
AREA
DO NOT WRITE IN THIS
has roots α, β and γ.
Without solving the equation, determine a cubic equation whose roots are (α + 2),
(β + 2) and (γ + 2), giving your answer in the form w3 + pw2 + qw + r = 0 , where p, q
and r are integers to be found.
(5)
AREA
DO NOT WRITE IN THIS
AREA
DO NOT WRITE IN THIS
2
, Question 1 continued
DO NOT WRITE IN THIS
AREA
DO NOT WRITE IN THIS
AREA
DO NOT WRITE IN THIS
AREA
(Total for Question 1 is 5 marks)
3
Turn
over
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